Monte Carlo renormalization-group studies of kinetic Ising models

Abstract
The dynamic Monte Carlo renormalization group is applied to the two-dimensional Kawasaki and three-dimensional Glauber models. Our best "matching" results for the Kawasaki model yield a value of z=3.80 for the dynamical exponent, as compared with the exact value z=3.75. This provides strong confirmation for the validity of this method. The results for the Glauber model are less accurate, but our estimate of z2.08 is in reasonable agreement with the ε expansion.